Answer:
10 sides (decagon)
Step-by-step explanation:
You find the perimeter by adding up all the sides of a shape.
side + side + side + side... = perimeter
You know that <em>each</em> side is 4/5 centimeters. You also know that the perimeter is 8 centimeters.
<u>You can set up an equation like this:</u>
4/5 * number of sides = 8
<em>or you can write it in a simpler form as:</em>
4/5x=8
<u>Now solve it like a normal equation:</u>
5 * (4/5x) = (8) * 5
(4x) / 4=(40) / 4
x = 10
So, you know the shape has 10 sides that are 4/5 centimeters each.
Answer:
In order to find the slope, you need to find the difference in the x values and the difference in the y values. To do this, you write out y2-y1/x2-x1, insert your x and y values, and get your answer. Then, you find your y-intercept (where the x value is 0).
Answer:
see attached
Step-by-step explanation:
The equation is in the form ...
4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance
Comparing this to your equation, we see ...
p = 4, (h, k) = (3, 4)
p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...
vertex: (3, 4)
axis of symmetry: x = 3
focus: (3, 8) . . . . . 4 units up from vertex
directrix: y = 0 . . . horizontal line 4 units down from vertex
Answer:
3
Step-by-step explanation:
3x+3-x+3=12
3x-x=12-3-3
2x=6
x=6/2
x=3